Here are the questions which have been asked in Cbse in different years

1. sin 3θ= cos(θ-6°) and 3θ and θ-6° are acute angles, find value of θ.

2. If tan A=4/3, then find value of

SinA + CosA, SinA - CosA.

3. If cosθ+sin θ=√2cosθ,

show that cosθ-sinθ=√2sinθ.

4.If 7 sin^2θ+ cos^2θ=44,

show that tan=1/√3.

5. If sec4A=cosec(A-20°),

where 4A is a acute angle, find the value of A.

6.State whether the following are true or false. Justify your answer.,

(i) sin (A + B) sin A + sin B.

(ii) The value of sinθ increases as θincreases.

(iii) The value of cosθ increases as θincreases.

(iv)sinθ= cosθ for all values of q.

(v) cot A is not defined for A = 0°.

7.Show that:

tan 48° tan 23° tan 42° tan 67° = 1

8. Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.

9.Write all the other trigonometric ratios of ∠A in terms of sec A.

10. If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.